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Finding the Fourth Proportional to 71,546.76, 98,734.55 and 39,718.62

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Solution

The fourth proportional to 71,546.76, 98,734.55 and 39,718.62 is: 54,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,546.76 : 98,734.55 = 39,718.62 : x
  2. Step 2: Convert to fraction form
    71,546.76/98,734.55 = 39,718.62/x
  3. Step 3: Cross multiply
    71,546.76x = 98,734.55 × 39,718.62
  4. Step 4: Simplify right side
    71,546.76x = 3,921,599,873.73
  5. Step 5: Solve for x
    x = 3,921,599,873.73/71,546.76
  6. Step 6: Final answer
    x = 54,811.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.